3,809,478

2 × 3 × 179 × 3547

Starting at 3,809,478, the Collatz iteration reaches 1 after 79 steps. The first transition is 1904739; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 179 × 3547

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,663,680

Proper Divisor Sum 3,854,202

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3809471 ← → #3809489

Radix Representation

Decimal	3809478
Binary	1110100010000011000110 (22 bits)
Octal	0o16420306
Hexadecimal	0x3A20C6

Divisor Catalog (16)

1 2 3 6 179 358 537 1,074 3,547 7,094 10,641 21,282 634,913 1,269,826 1,904,739 3,809,478

Collatz Trajectory (79 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

3,809,478 1,904,739 5,714,218 2,857,109 8,571,328 4,285,664 2,142,832 1,071,416 535,708 267,854 133,927 401,782 200,891 602,674 301,337 904,012 452,006 226,003 678,010 339,005 1,017,016 508,508 254,254 127,127 381,382 190,691 572,074 286,037 858,112 429,056 214,528 107,264 53,632 26,816 13,408 6,704 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19

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